what's the converse(negation) of this statement?

Hi all,

I have this statement:

There exists F, such that F(x)=0 for any x.

How do I converse the above statement and find a negated-statement of this
statement?

That's to say, I want

NOT(There exists F, such that F(x)=0 for any x).

---------------------

How do I do that?

I keep having such kind of problems when dealing the sub-clause after "such
that", shall I negate it, or not...

Any general rules that I can follow in the future for other statements?

Thanks a lot!




.

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